First we calculate the area of the entire dartboard which will constitute the total area. The total area is in the form of a circle with radius 15 inches
Total area = area of circle =
Total area =
Total area =
Next, we calculate the area of the bull's eye. Again the bull's eye is another circle whose radius is 2 inches
Bull's eye area =
Bull's eye area =
Probability that a dart thrown at random within the dartboard will hit the bull’s-eye =
Probability that a dart thrown at random within the dartboard will hit the bull’s-eye = 4/225 = 0.01777 = 1.77% = 1.8% (Option A)